Fuzzy Scatter Matrix Based Class Separability Criterion

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Abstract:

Scatter matrix based class separability criterion is commonly used in supervised feature extraction. But calculations of scatter matrixes depend on labeled data, so this criterion can not be used in unsupervised pattern. This paper presents a method to extend scatter matrix based class separability criterion to unsupervised pattern by fuzzy theory. The basic idea is to optimize the defined fuzzy Fisher criterion function to figure out fuzzy scatter matrixes in unsupervised pattern. Based on the obtained fuzzy between-class scatter matrix and fuzzy within-class scatter matrix, a novel class separability criterion based unsupervised feature extraction is proposed. Experimental results on its applications in UCI datasets show its effectiveness.

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Periodical:

Advanced Materials Research (Volumes 179-180)

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409-414

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January 2011

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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[1] R. O. Duda, D. G. Stork, and P. E. Hart. Pattern classification (second edition). John Wiley and Sons, (2001), p.115.

Google Scholar

[2] Lei Wang and Kap Luk Chan, Learning kernelparameters by using class separability measure, 6th Kernel Machine Workshop on LearningKernels (in conjunction with Neural Information Processing Systems Conference), Whistler, Canada. (2002).

Google Scholar

[3] Su-Qun Cao, Shi-Tong Wang, Xiao-Feng Chen et al., Fuzzy fisher criterion based semi-fuzzy clustering algorithm, Journal of Electronics & Information Technology, vol. 30, no. 9 (2008), pp.2162-2165.

DOI: 10.3724/sp.j.1146.2007.00232

Google Scholar

[4] C.L. Blake, C.J. Merz, UCI repository of machine learning databases, Irvine, CA: University of California, Department of Information and Computer Science[DB/OL]. http: /www. ics. uci. edu/~mlearn/MLRepository. html(1998).

Google Scholar

[5] W. Rand, Objective Criteria for the Evaluation of Clustering Methods, Journal of the American Statistical Association, vol. 66, no. 336(1971), pp.846-850.

DOI: 10.1080/01621459.1971.10482356

Google Scholar